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Sagot :
The value of x is 7.6cm and the sides of the triangle are 19cm, 22.8cm and 18.2cm
Perimeter of triangle
The perimeter of a triangle is defined as the total length of its boundary.
The formula for the perimeter of a scalene triangle is
Perimeter = a + b + c,
where
"a", "b", and "c" are the three different sides.
Given,
A triangle has sides measuring 2.5x cm, 3x cm, and (2x+3) cm.
The perimeter measures 60 cm.
Here we need to find the value of x and the sides of the triangle.
Let the values of
a = 2.5x cm
b = 3x cm
and
c = (2x+3) cm
Then,
Apply the values on the formula for perimeter,
Then we get,
=> P = (2.5x) + (3x) + (2x +3)
=> P = 7.5x + 3
Now, apply the value of perimeter,
As P= 60,
Then.
=> 60 = 7.5x + 3
=> 7.5x = 60 - 3
=> 7.5x = 57
=> x = 57/7.5
=> x = 7.6
So, the sides of the triangle are,
a = 2.5x => 2.5 (7.6) = 19
b = 3x => 3(7.6) = 22.8
c = (2x+3) => 2(7.6) +3 = 15.2 + 3 = 18.2
Therefore, the sides of the triangle are 19, 22.8 and 18.2.
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